PSLE At a sale, Ivan bought 6 cups of the same kind. His sister bought 3 such cups. She also bought 4 wine glasses at $5.10 each. Altogether, she spent $6.90 less than Ivan. What was the total amount of money Ivan and his sister spent?
|
Ivan |
His sister |
Items bought
|
6 cups
|
3 cups + 4 wine glasses = 3 cups + 20.40 |
Comparing the amounts paid |
$6.90 more |
|
Amount that his sister spent on 4 wine glasses
= 4 x 5.10
= $20.40
Let the cost of 1 cup be 1 C.
If Ivan spent $6.90 less, each would pay the same amount.
6 C - 6.90 = 3 C + 20.40
6 C - 3 C = 20.40 + 6.90
6 C - 3 C = 27.30
3 C = 27.30
1 C = 27.30 ÷ 3 = 9.10
Total amount that Ivan and his sister spent
= 6 C + 3 C + 20.40
= 9 C + 20.40
= 9 x 9.10 + 20.40
= 81.90 + 20.40
= $102.30
Answer(s): $102.30